The Royal Palace, Palermo

• The symmetry group of the tiling is *632 (p6m).
• All the internal angles of the constituent polygons are a multiple of 30°.
• Contains two equilateral triangles.
• Contains one regular two-pointed star polygon with vertex angle of 60°.
• Contains one regular 6-pointed star polygon with vertex angle of 60°.
• There are four non-regular reflective tiles (including one kite).
• The tiling satisfies the interlace condition and has two finite interlaces and no infinite interlace with straight cross-overs.
• The tiling is edge-to-edge.
• As drawn, contains about 401 polygons.

1. Photo via Aslam Qureshi (The Royal Palace, Palermo, Sicily, Italy) of Not specific. Personal Communication, Information sent to the author, 21c. [pc]

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